NCERT Solutions For Class 6 Maths, Chapter 4, Basic Geometrical Ideas, Exercise 4.2 involves study of curves which involves open and closed curve. This exercise 4.2 class 6 maths involves total five questions.

NCERT Solutions For Class 6 Maths, Chapter 4, Basic Geometrical Ideas, Exercise 4.2

Q.1. Classify the following curves as (i) Open or (ii) Closed.

Ans:

(a) Open curve

(b) Closed curve

(c) Open curve

(d) Closed curve

(e) Closed curve

Q.2. Draw rough diagrams to illustrate the following : (a) Open curve (b) Closed curve.

Ans:

Q.3. Draw any polygon and shade its interior.

Ans:

Q.4. Consider the given figure and answer the questions : (a) Is it a curve? (b) Is it closed?

Ans: (a) Yes, it is a curve

(b) Yes, it is closed curve

Q.5. Illustrate, if possible, each one of the following with a rough diagram:

(a) A closed curve that is not a polygon.

(b) An open curve made up entirely of line segments.

(c) A polygon with two sides.

Ans:

(a) The below figure is the closed figure but not a polygon

(b) The below figure is an open curve made up entirely of line segments

(c) No, its not possible to draw. the polygon should have at least 3 sides. For example, triangle which has three sides.